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Finding the Fourth Proportional to 1,958.73, 2,702.87 and 1,119.26

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Solution

The fourth proportional to 1,958.73, 2,702.87 and 1,119.26 is: 1,544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.73 : 2,702.87 = 1,119.26 : x
  2. Step 2: Convert to fraction form
    1,958.73/2,702.87 = 1,119.26/x
  3. Step 3: Cross multiply
    1,958.73x = 2,702.87 × 1,119.26
  4. Step 4: Simplify right side
    1,958.73x = 3,025,219.63
  5. Step 5: Solve for x
    x = 3,025,219.63/1,958.73
  6. Step 6: Final answer
    x = 1,544.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.